Earnings Per Share (Details) - USD ($) $ / shares in Units, $ in Thousands		1 Months Ended	12 Months Ended
	Jul. 01, 2024	Dec. 31, 2022	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Basic earnings per common share:
Net Income - Basic			$ 83,095	$ 38,463	$ 50,160
Weighted shares outstanding - Basic			54,935,000	55,586,000	56,498,000
Basic earnings per common share (in dollars per share)			$ 1.51	$ 0.69	$ 0.89
Diluted earnings per common share:
Net Income - Basic			$ 83,095	$ 38,463	$ 50,160
Add: Convertible Notes interest expense, net of tax			9,947	4,327	7,489
Net Income - Diluted			$ 93,042	$ 42,790	$ 57,649
Weighted shares outstanding - basic (in shares)			54,935,000	55,586,000	56,498,000
Equity-based compensation awards - effect of dilution (in shares)			1,651,000	1,482,000	678,000
Convertible Notes - effect of dilution (in shares)			27,862,000	23,797,000	25,224,000
Weighted Shares Outstanding - Diluted (in shares)			84,448,000	80,865,000	82,400,000
Diluted earnings per common share (in dollars per share)			$ 1.10	$ 0.53	$ 0.70
Potential common shares excluded from the calculation of diluted earnings per share above, restricted stock (in shares)			782,000	6,397,000	1,975,000
Gain on extinguishment of debt		$ (3,500)	$ 0	$ (3,545)	$ 0
Payments on assumed debt			34,389	178,488	0
2025 Convertible Notes
Diluted earnings per common share:
Gain on extinguishment of debt				5,400
2024 Convertible Notes | Common Class A
Diluted earnings per common share:
Debt conversion, further issued (in shares)	77,328
2024 Convertible Notes | Senior Notes
Diluted earnings per common share:
Gain on extinguishment of debt			$ 0	$ (8,935)	$ 0
Weighted average number of shares outstanding, diluted, adjustment	883,283
Payments on assumed debt	$ 34,400
Convertible Notes
Diluted earnings per common share:
Potential common shares excluded from the calculation of diluted earnings per share above, restricted stock (in shares)			0	5,596,000	0
Restricted stock
Diluted earnings per common share:
Potential common shares excluded from the calculation of diluted earnings per share above, restricted stock (in shares)			782,000	801,000	1,975,000